Solve 6x − 5 = −65

The solution of 6x − 5 = −65 is x = -10.

6x - 5 = -65\ \Rightarrow\ x = -10

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The lines y = 6x − 5 and y = -65 meet at x = -10. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

1
The goal is to get x alone. Undo the operations in the opposite order: first the subtraction, then the multiplication.
$6x - 5 = -65$
2
Add 5 to both sides:
$6x - 5 + 5 = -65 + 5 \ \Rightarrow\ 6x = -60$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-60}{6} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$6\cdot(-10) - 5 = -60 - 5 = -65 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 5 = -65\ \Rightarrow\ x = -10 \]
\[ 6x - 5 = -65 \]
\[ 6x - 5 + 5 = -65 + 5 \ \Rightarrow\ 6x = -60 \]
\[ \frac{6x}{6} = \frac{-60}{6} \ \Rightarrow\ x = -10 \]
\[ 6\cdot(-10) - 5 = -60 - 5 = -65 \checkmark \]

Trying values of x in 6x − 5 = −65

x	6x − 5	Equals -65?
-12	-77	no
-11	-71	no
-10	-65	yes
-9	-59	no
-8	-53	no

Questions

What is x in 6x − 5 = −65?

The solution of 6x − 5 = −65 is x = -10.

How do you solve 6x − 5 = −65?

Add 5 to both sides to get 6x = -60, then divide both sides by 6 to get x = -10.

How do I check the answer?

Replace x by -10: 6(-10) − 5 = -65, which is -65.

Solve 6x − 5 = −65

How to work it out

Trying values of x in 6x − 5 = −65

Questions

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